I think it's been reported that WMBfsb was a sub of WMB. You are right that they were both well capitalized. FDIC provided the following in a footnote:
Prior to September 25, 2008, Washington Mutual FSB of Park City, Utah, an insured institution with $46 billion in assets and $29 billion in equity capital, was directly owned by Washington Mutual Bank of Henderson, Nevada. Under accounting rules, the subsidiary institution's assets and liabilities were included in the consolidated financial data reported by the parent institution, resulting in double-reporting of some of the subsidiary's financial data. The direct ownership relationship ended with the failure of the parent institution during the third quarter, at which point the subsidiary institution's financial data were no longer double-reported.
ots says wmbfsb was a wmi sub ... just as wmb itself .